Ay\'on--Beato--Garc\'ia black hole coupled with a cloud of strings: thermodynamics, shadows and quasinormal modes

TL;DR

This paper presents an exact black hole solution in Einstein gravity with non-linear electrodynamics and a cloud of strings, analyzing its thermodynamics, shadows, and quasinormal modes, revealing its interpolating nature and thermodynamic behavior.

Contribution

It introduces a new exact black hole solution coupling Ayón--Beato--García non-linear electrodynamics with a cloud of strings, and studies its thermodynamic and observational properties.

Findings

Solution interpolates between known black holes

Black hole follows modified first law of thermodynamics

Estimated shadows and quasinormal modes

Abstract

We find an exact black hole solution for the Einstein gravity in the presence of Ay\'on--Beato--Garc\'ia non-linear electrodynamics and a cloud of strings. The resulting black hole solution is singular, and the solution becomes non-singular when gravity is coupled with Ay\'on--Beato--Garc\'ia non-linear electrodynamics only. This solution interpolates between Ay\'on--Beato--Garc\'ia black hole, Letelier black hole and Schwarzschild black hole { in the absence of cloud of strings parameter, magnetic monopole charge and both of them, respectively}. We also discuss the thermal properties of this black hole and find that the solution follows the modified first law of black hole thermodynamics. Furthermore, we estimate the solution's black hole shadow and quasinormal modes.